847968 has 72 divisors (see below), whose sum is σ = 2480184. Its totient is φ = 253440.

The previous prime is 847967. The next prime is 847969. The reversal of 847968 is 869748.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (847967) and next prime (847969).

Its product of digits (96768) is a multiple of the sum of its prime factors (108).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (847967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11580 + ... + 11652.

It is an arithmetic number, because the mean of its divisors is an integer number (34447).

2⁸⁴⁷⁹⁶⁸ is an apocalyptic number.

847968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 847968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240092).

847968 is an abundant number, since it is smaller than the sum of its proper divisors (1632216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

847968 is a wasteful number, since it uses less digits than its factorization.

847968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 847968 is about 920.8517796041. The cubic root of 847968 is about 94.6512792112.

The spelling of 847968 in words is "eight hundred forty-seven thousand, nine hundred sixty-eight".